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- THE TOPIC OF THIS VIDEO IS COMBINING SIMILAR TERMS. AND THIS IS SOMETHING THAT OFTEN WE DO IN ALGEBRA. SO HERES AN ALGEBRAIC EXPRESSION. IT HAS SOME NUMBERS IN IT AND SOME VARIABLES. AND JUST AS A REMINDER, SIMILAR TERMS, WHEN WE SEE THIS TOPIC, WERE LOOKING AT TERMS OR PIECES THAT HAVE EXACTLY THE SAME VARIABLE PART. SO, FOR EXAMPLE, IF I LOOK AT THIS EXPRESSION, 3A AND 2A, ARE CONSIDERED SIMILAR TERMS. AND SO WE CAN COMBINE THEM TOGETHER. SO ONE OF THE WAYS I LIKE TO THINK ABOUT THIS, I LIKE TO THINK ABOUT THIS KIND OF LIKE YOURE IN A GROCERY STORE. SO, FOR EXAMPLE, IF YOU HAVE 3 APPLES AND THEN YOU ADD 2 APPLES TO YOUR BASKET, IN THE END YOURE GOING TO HAVE 5 APPLES. SO TO COMBINE THOSE SIMILAR TERMS, WE HAVE 3A + 2A AND WE GET 5A. NOW, THE OTHER TWO TERMS IN THIS EXPRESSION ARE ALSO SIMILAR. SO HERE WE HAVE 7B - B. SOMETIMES THAT HANGS PEOPLE UP. THEY THINK, WELL, HOW DO I SUBTRACT THOSE? DO THE Bs GO AWAY OR WHAT HAPPENS WITH THOSE? IF YOURE UNCOMFORTABLE, REMEMBER THAT